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Finding the Fourth Proportional to 3,467.14, 5,199.19 and 1,001.90

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Solution

The fourth proportional to 3,467.14, 5,199.19 and 1,001.90 is: 1,502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.14 : 5,199.19 = 1,001.90 : x
  2. Step 2: Convert to fraction form
    3,467.14/5,199.19 = 1,001.90/x
  3. Step 3: Cross multiply
    3,467.14x = 5,199.19 × 1,001.90
  4. Step 4: Simplify right side
    3,467.14x = 5,209,078.95
  5. Step 5: Solve for x
    x = 5,209,078.95/3,467.14
  6. Step 6: Final answer
    x = 1,502.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.